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Sparse Schrödinger Operators [PDF]

open access: yesReviews in Mathematical Physics, 1997
We study spectral properties of a family [Formula: see text], indexed by a non-negative integer p, of one-dimensional discrete operators associated to an ergodic dynamical system (T,X,ℬ,μ) and defined for u in ℓ2(ℤ) and n in ℤ by [Formula: see text], where Vx(n)=f(Tnx) and f is a real-valued measurable bounded map on X.
openaire   +3 more sources

Coloring Sparse Hypergraphs [PDF]

open access: yesSIAM Journal on Discrete Mathematics, 2016
Fix $k \geq 3$, and let $G$ be a $k$-uniform hypergraph with maximum degree $ $. Suppose that for each $l = 2, ..., k-1$, every set of l vertices of G is in at most $ ^{(k-l)/(k-1)}/f$ edges. Then the chromatic number of $G$ is $O( ( /\log f)^{1/(k-1)})$. This extends results of Frieze and the second author and Bennett and Bohman.
Cooper, Jeff, Mubayi, Dhruv
openaire   +3 more sources

Image Extrapolation Using Sparse Methods

open access: yesCommunications, 2013
Image extrapolation is the specific application in image processing. You have to extrapolate the image for example when you want to process the given image piecewise.
Jan Spirik, Jan Zatyik
doaj   +1 more source

Sparse HJ Biplot: A New Methodology via Elastic Net

open access: yesMathematics, 2021
The HJ biplot is a multivariate analysis technique that allows us to represent both individuals and variables in a space of reduced dimensions. To adapt this approach to massive datasets, it is necessary to implement new techniques that are capable of ...
Mitzi Cubilla-Montilla   +3 more
doaj   +1 more source

A Combinatorial Problem Related to Sparse Systems of Equations [PDF]

open access: yes, 2015
Nowadays sparse systems of equations occur frequently in science and engineering. In this contribution we deal with sparse systems common in cryptanalysis.
Horak, Peter, Semaev, Igor, Tuza, Zsolt
core   +2 more sources

Low-Rank Matrix Recovery Approach for Clutter Rejection in Real-Time IR-UWB Radar-Based Moving Target Detection

open access: yesSensors, 2016
The detection of a moving target using an IR-UWB Radar involves the core task of separating the waves reflected by the static background and by the moving target.
Donatien Sabushimike   +5 more
doaj   +1 more source

DOA Estimation in Partially Correlated Noise Using Low-Rank/Sparse Matrix Decomposition [PDF]

open access: yes, 2014
We consider the problem of direction-of-arrival (DOA) estimation in unknown partially correlated noise environments where the noise covariance matrix is sparse. A sparse noise covariance matrix is a common model for a sparse array of sensors consisted of
Babaie-Zadeh, Massoud   +4 more
core   +1 more source

Reconstructive Sparse Code Transfer for Contour Detection and Semantic Labeling [PDF]

open access: yes, 2014
We frame the task of predicting a semantic labeling as a sparse reconstruction procedure that applies a target-specific learned transfer function to a generic deep sparse code representation of an image.
Maire, Michael   +2 more
core   +4 more sources

GNSS Signal Acquisition Algorithm Based on Two-Stage Compression of Code-Frequency Domain

open access: yesApplied Sciences, 2022
The recently-emerging compressed sensing (CS) theory makes GNSS signal processing at a sub-Nyquist rate possible if it has a sparse representation in certain domain.
Fangming Zhou   +6 more
doaj   +1 more source

Unsupervised Feature Learning by Deep Sparse Coding [PDF]

open access: yes, 2013
In this paper, we propose a new unsupervised feature learning framework, namely Deep Sparse Coding (DeepSC), that extends sparse coding to a multi-layer architecture for visual object recognition tasks.
He, Yunlong   +4 more
core   +2 more sources

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